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Finding the Third Proportional to 31,456,836 and 42,500,153.25

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Solution

The third proportional to 31,456,836 and 42,500,153.25 is: 57,420,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456,836 : 42,500,153.25 = 42,500,153.25 : x
  2. Step 2: Convert to fraction form
    31,456,836/42,500,153.25 = 42,500,153.25/x
  3. Step 3: Cross multiply
    31,456,836x = 42,500,153.25 × 42,500,153.25
  4. Step 4: Simplify right side
    31,456,836x = 1,806,263,026,273,485.50
  5. Step 5: Solve for x
    x = 1,806,263,026,273,485.50/31,456,836
  6. Step 6: Final answer
    x = 57,420,365.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.